Maurice Tutor

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About Maurice Tutor

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Elementary,Middle School,High School,College,University,PHD

Expertise:
Algebra,Applied Sciences See all
Algebra,Applied Sciences,Biology,Calculus,Chemistry,Economics,English,Essay writing,Geography,Geology,Health & Medical,Physics,Science Hide all
Teaching Since: May 2017
Last Sign in: 408 Weeks Ago
Questions Answered: 66690
Tutorials Posted: 66688

Education

  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

Experience

  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 04 Feb 2018 My Price 6.00

pre-images of subsets

Let f : R → R be given by f (x) = sin x. Find the following sets:

 

Given a function f : A → B, there are many relationships that hold between the images and pre-images of subsets of A and B. For example, suppose that we start with a subset C of A. If we map C onto f (C) and then bring it back to f–1 ( f (C)), do we always end up with C again? The answer is no, in general, but f–1 (f(C)) always contains C. In the following theorem we state a number of relationships like this that apply to images and preimages. The proofs are all straightforward and provide a good opportunity for you to practice your skills at writing proofs. Thus we sketch only two of the proofs and leave the others for the exercises.

Answers

Maurice Tutor
(5)
Status NEW Posted 04 Feb 2018 07:02 PM My Price 6.00

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